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Ratling [72]
3 years ago
8

Find the value of x in each case.

Mathematics
2 answers:
sammy [17]3 years ago
7 0
The answer would be 80
Leto [7]3 years ago
3 0

Answer:

I think its 80 for both. .,.

Hola,

Goodluck! Z:

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PLEASE HELP/ANSWER! From 1980 to 1990, Lior’s weight increased by 25%. If his weight was k kilograms in 1990, what was it in 198
Elena-2011 [213]

The weight in 1980 is \frac{4k}{5} kilograms

<em><u>Solution:</u></em>

From 1980 to 1990, Lior’s weight increased by 25%

His weight is "k" kilograms in 1990

<em><u>To find: weight in 1980</u></em>

This is a percentage increase problem

Let "x" be the weight in kilograms in 1980

<em><u>The percentage increase is given by formula:</u></em>

\text{Percentage increase } = \frac{\text{Final value - initial value}}{\text{initial value}} \times 100

Here,

Initial value in 1980 = x

Final value in 1990 = k

Percentage increase = 25 %

<em><u>Substituting the values in formula,</u></em>

25 = \frac{k-x}{x} \times 100\\\\25x = 100(k-x)\\\\x = 4(k-x)\\\\x = 4k - 4x\\\\5x = 4k\\\\x = \frac{4k}{5}

Thus the weight in kilograms in 1980 is \frac{4k}{5}

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4 years ago
I need help solving problem 11.
Lunna [17]
Since triangle ABC is isosceles, then angles 1 and 9 are congruent.

4x + 3 = 9x - 47

-5x = -50

x = 10

m<1 = 4x + 3 = 40 + 3 = 43

m<1 = m<9 = 43

Triangle DBE is equilateral, so it is also equiangular.

m< 4 = m<5 = m<6 =60

Angles 3 and 8 are supplementary to congruent angles that measure 60 deg, so 180 - 60 = 120, so

m<3 = m<8 = 120

For angles 2 and 7, use the sum of the measures of the angles of a triangle is 180 deg.

m<1 + m<2 + m<3 = 180

43 + m<2 + 120 = 180

m<2 + 163 = 180

m<2 = 17

m<2 = m<7 = 17
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